Table of Contents
Single Variable Calculus
- 1.1. Mathematical Modeling of Physical Phenomena: Should We Be Surprised?
- 1.2 Tools to Prevent Deception: Machine graphics flaws & trick images
- 1.3 Function Operations: God's Surgical Improvements of our Action
- 1.4 Development of the Derivative: Does God Change?
- 1.5 Derivative as a Rate of Change: Indicators for a Person's Heart
- 1.6 Limit definition of derivative: Secant Lines and Sanctification
- 1.7 Infinite Limits: Infinite Qualities of God
- 1.8 Symbolic Differentiation: Transformation under Christ
- 1.9 Chain Rule: Chain Reactions
- 1.10 Inverse Functions and Derivatives: Inversions in the Bible
- 1.11 Three BIG Theorems: MVT, EVT, IVT: Faith vs. Proof
- 1.12 Differential Equations: Growth Functions: Blessed Exponentially
- 1.13 Integration as a measurement tool: Measurement in the Bible
- 1.14 Numerical Integration and Error Bounds: God's Zero Tolerance for Error
- 2.1 Planar Approximation to Surfaces: Approximations and Intentions
- 2.2 Level Sets: Stratification in Christ's kingdom?
- 3.1 Overview: Conjecture and Proof: Proof of God's Will
- 3.2 Logical Operators: Epistle Implications
- 3.3 Logical quantifiers: Unique Existence of God
- 3.4 Proof writing: A Perfect Proof?
- 3.5 Recursion and Induction: Recursive Blessings and Curses
- 3.6 Disjoint Sets: Adopted Children of God
- 3.7 Definition of Function: The Jesus Function
- 3.8 Inverse Functions: Christ = Adam-1
- 3.9 Equivalence Classes: A Common Confession
- 3.10 Combinatorics: Countable or Uncountable?
- 4.1 Probability/odds: Probability Defied
- 4.2 Measures of central tendency: Don't Be Average
- 4.3 Central Limit Theorem: Repeated Samples of Character
- 5.1 Spanning Set: The Span of God's Love
- 5.2 Independent and Dependent Vectors: Independent or Dependent?
- 5.3 Matrix Transformation: Transformed by the Spirit
- 5.4 Matrix Inversions: Our Inverted Actions
- 5.5 Determinants: The Mark of a Determinant
- 5.6 Generalized Vector space: Generalization and Fulfillment
- 5.7 Bases of a Subspace: THE Basis of the Law
- 5.8 Vector space Dimension: Dimension of God
- 5.9 Eigenspaces: In the Eigenspace of Christ
- 5.10 Eigenvalues: What is your Eigen?
- 5.11 Least-squares solution: Our Inconsistent System